SSC CGL — Tier 1 — 2025 — 14 Sep 2025 — Shift II — Official Paper — Kerala PSC PYQ Practice with Answers

Correct answer (Option A):\nLet's analyze the pattern between the first pair: BOOK → CPPL.\nB → C (+1)\nO → P (+1)\nO → P (+1)\nK → L (+1)\nThe letter coding applies a fixed logical increment of +1 to each letter position.\n\nApplying the identical rule (+1) to the word DEAR:\nD → E (+1)\nE → F (+1)\nA → B (+1)\nR → S (+1)\nTherefore, the coded word is EFBS.\nOption A is correct.\n\nWhy others are wrong:\nOption B (EFBQ) contains an incorrect shift count for the final position R → Q (-1).\nOption C (EFAR) completely misses the +1 transformation on the final two letters.\nOption D (DFBS) leaves the first letter D completely unchanged, breaking the +1 progression.\n\nStudy tip:\nLetter-shift analogies frequently use uniform step additions. Always test the rule sequentially across every letter position.

Correct answer (Option B):\nThe symbol @ behaves as a multiplication mathematical operator.\nLet's verify with the given conditions:\nFirst condition: 8 × 4 = 32\nSecond condition: 6 × 5 = 30\n\nFollowing this established arithmetic rule:\n9 @ 3 = 9 × 3 = 27\nOption B is correct.\n\nWhy others are wrong:\nOption A (24) is mathematically incorrect for the product of 9 and 3.\nOption C (36) corresponds to 9 × 4 instead of 9 × 3.\nOption D (18) represents the outcome of 9 × 2.\n\nStudy tip:\nMathematical symbol substitution questions involve identifying consistent operations like addition, subtraction, or multiplication that balance the equations.

Correct answer (Option D):\nLet's evaluate the differences between successive numbers in the sequence:\n13 - 9 = 4\n21 - 13 = 8\n37 - 21 = 16\n\nThe pattern of differences forms a geometric sequence where the difference doubles each step: 4, 8, 16. \nThe next difference in the sequence must be 16 × 2 = 32.\n\nAdding this difference to the last value:\n37 + 32 = 69\nOption D is correct.\n\nWhy others are wrong:\nOption A (61) assumes an incorrect arithmetic addition of 24 instead of 32.\nOption B (57) arises from adding 20.\nOption C (73) assumes a difference of 36.\n\nStudy tip:\nWhen numbers grow steadily, compute the primary differences. If the differences grow uniformly, look for powers of 2 or geometric progression patterns.

Correct answer (Option D):\nLet's deduce the algebraic equation behind the operator #.\nPattern: (First number × 2) - 1\nLet's double check with the first example:\n(7 × 2) - 1 = 14 - 1 = 13 (Does not match 15 directly)\n\nLet's re-examine alternative rules:\nPattern: (First number + Second number) + 4\n(7 + 4) + 4 = 15\n(9 + 6) + 4 = 19 + 4 = 23 (Does not match 21)\n\nLet's look closely at another algebraic operation:\nPattern: 2 × (First number) + (Second number - 3)\nOr simply: 2 × First number - Second number\nLet's evaluate (2 × A) - B:\n(2 × 7) - 4 = 14 - 4 = 10 (No)\n\nLet's try: (A - B) + something? No.\nLet's analyze: 2 × (Second Number) + (First Number - 1)\n2 × 4 + (7 - 1) = 8 + 6 = 14 (No)\n\nLet's look at the true algebraic reduction:\n7 # 4 = 15 → 2 × (7) + 4 - 3 = 15\n9 # 6 = 21 → 2 × (9) + 6 - 3 = 21\nFormula: 2A + B - 3\nLet's test: \n2 × 7 + 4 - 3 = 14 + 4 - 3 = 15. This is correct.\n2 × 9 + 6 - 3 = 18 + 6 - 3 = 21. This is correct.\n\nApplying the formula 2A + B - 3 to 8 # 5:\n2 × 8 + 5 - 3 = 16 + 5 - 3 = 18\nOption D is correct.\n\nWhy others are wrong:\nOptions A, B, and C fail to satisfy the unified equation verified across both control expressions.\n\nStudy tip:\nMulti-variable puzzle operators can often be mapped via linear combinations such as xA + yB + c = Result.

Correct answer (Option B):\nLet's identify the mathematical sequence progression rule:\n5 × 2 + 1 = 11\n11 × 2 + 1 = 23\n23 × 2 + 1 = 47\nThe recurrence relation is defined precisely by the rule: Next Term = (Current Term × 2) + 1.\n\nApplying this step to find the next item:\n47 × 2 + 1 = 94 + 1 = 95\nOption B is correct.\n\nWhy others are wrong:\nOption A (93) skips adding the constant 1 after multiplying by 2 incorrectly (47 × 2 - 1).\nOptions C and D fail to replicate the consistent doubling recurrence trend.\n\nStudy tip:\nLook for standard recursive operations when terms increase roughly by a factor of 2 at each successive position.